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Finding the Fourth Proportional to 903.57, 1,355.99 and 416.94

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Solution

The fourth proportional to 903.57, 1,355.99 and 416.94 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.57 : 1,355.99 = 416.94 : x
  2. Step 2: Convert to fraction form
    903.57/1,355.99 = 416.94/x
  3. Step 3: Cross multiply
    903.57x = 1,355.99 × 416.94
  4. Step 4: Simplify right side
    903.57x = 565,364.39
  5. Step 5: Solve for x
    x = 565,364.39/903.57
  6. Step 6: Final answer
    x = 625.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.